anyone know the answer to this?

Anyone Know The Answer To This?

Answers

Answer 1
The volume of the figure is 245
Answer 2

\(V=7\text{ in}\cdot 5\text{ in}\cdot7 \text{ in}=245\text{ in}^3\)


Related Questions

The recipe for a homemade glass cleaner indicates to use a ratio of 1 part vinegar to 4 parts water. Autumn used 2.25 ounces of vinegar and 9 ounces of water. Is the relationship between vinegar and water in the recipe and vinegar and water in Autumn's cleaning solution a proportional relationship?​

Answers

Combine 1 part distilled vinegar and 10 parts warm water in a spray bottle. Wipe the window down with a gentle, clean, lint-free microfiber cloth or paper towel to remove any dust before applying your solution. Spray the entire surface after that.

How does a proportionate relationship work?Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.If a table displays a proportional relationship, the ratio of each pair of values can be determined. The table depicts a proportionate relationship if all of those ratios are the same.The equation y = kx represents a proportionate relationship between two quantities y and x that have the same proportionality constant, k.A linear relationship between two amounts or variables is referred to as proportionality in mathematics. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.

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91) __________ involves the analysis of accumulated data and involves a __________. a) OLAP, database b) OLAP, data warehouse c) OLTP, database d) OLTP, data warehouse

Answers

OLAP is used for the analysis of accumulated data, and it requires a data warehouse.

while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.

In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.

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2) You buy a brand new Audi R8 for $148,700 before taxes. If the car depreciates at a rate of 8%, how much will it be worth in 5 years?

Answers

To solve this problem, we will use the formula for exponential decay as follows: V = P * e^(-rt) where V is the value after t years, P is the initial value, r is the annual interest rate as a decimal, and t is the time in years.

What is Depreciation: Depreciation is dependent on a number of estimates.The method in which companies determine the depreciation value of their assets is different from one another. Some companies may use a straight line method of depreciation and another may count the depreciation according to asset's production value. What is exponential decay: An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time .Given that a brand new Audi R8 is purchased for $148,700 before taxes, and the car depreciates at a rate of 8%, we can find how much it will be worth in 5 years. Using the formula for exponential decay, we have V = P * e^(-rt) where     P = $148,700r = 0.08t = 5. Therefore,V = $148,700 * e^(-0.08 * 5), V = $148,700 * e^(-0.4)V ≈ $82,429.61. Therefore, the car will be worth approximately $82,429.61 in 5 years.

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Q4. Find the particular solution for the following non-homogeneous system of first- order linear differential equation. Y = 54 -5x² +6x+25 5 Y(0)= 1 2 -x²+2x+4

Answers

The particular solution for the given non-homogeneous system of first-order linear differential equations is:

\(Y = 54x - (5/3)x^3 + 3x^2 + 25x + 16\)

To find the particular solution for the non-homogeneous system of first-order linear differential equations, we need to substitute the given values into the system and solve for the unknown coefficients.

The given system is:

\(Y' = 54 - 5x^2 + 6x + 25\\Y(0) = 12 - x^2 + 2x + 4\)

Differentiating the second equation, we have:

\(Y'(0) = -2x + 2\)

Now, let's substitute these values into the first equation:

\(Y' = 54 - 5x^2 + 6x + 25\)

Since there are no derivatives of Y in the equation, we can integrate both sides with respect to x to find the particular solution:

\(\int Y' dx = \int (54 - 5x^2 + 6x + 25) dx\)

Integrating each term separately, we get:

\(Y = 54x - (5/3)x^3 + 3x^2 + 25x + C\)

Now, using the initial condition\(Y(0) = 12 - x^2 + 2x + 4\), we can substitute x = 0 and \(Y = 12 - x^2 + 2x + 4\) into the equation to solve for the constant C:

\(12 - 0 + 2(0) + 4 = 54(0) - (5/3)(0^3) + 3(0^2) + 25(0) + C\)

16 = C

C= 16

Therefore, the particular solution for the given non-homogeneous system of first-order linear differential equations is:

\(Y = 54x - (5/3)x^3 + 3x^2 + 25x + 16\)

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Can u please solve this

Can u please solve this

Answers

Answer:

522.5in^3

Step-by-step explanation:

4/3 ×3.14×5^3

4/3×3.14×125

1.33×3.14×125

4.18×125

522.5

Step-by-step explanation:

\(v = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times 3 \times {5}^{3} \\ = 4 \times 125 \\ = 500 {in}^{3} \\ thank \: you\)

Given: XYZW is a rectangle.ХYWZWhich of the following is NOT necessarily true?XY WZXZ YWXY TYZXZ I WY

Given: XYZW is a rectangle.YWZWhich of the following is NOT necessarily true?XY WZXZ YWXY TYZXZ I WY

Answers

1. A rectangle has parallel sides that are congruent with each other.

2. The adjacent sides are always 90 degrees or perpendicular with each other.

3. The diagonals are also congruent with each other.

From the given choices.

XY is congruent to WZ, it satisfies the note #1 above, therefore this is true

XZ is congruent to YW, it satisfies the note #3 above, therefore this is true

XY is perpendicular to YZ, it satisfies the note #2 above, therefore this is true

XZ is perpendicular to WY, the diagonals are always equal but not necessarily formed a 90 degrees angle, therefore this is NOT necessarily true.

The answer is Choice D.

a conical water tank with vertex down has a radius of 12 feet at the top and is 26 feet high. if water flows into the tank at a rate of 10 ft3/min, how fast is the depth of the water increasing when the water is 13 feet deep?

Answers

The depth of the water increasing when the water is 13 feet deep is approximately 1.68 feet per minutes.

We know that the conical water tank has a radius of 12 feet and is 26 feet high.

We also know that water is flowing into the tank at a rate of 30ft³/min. In other words, our derivative of the volume with respect to time t is:

                                   \(\frac{dV}{dt} = \frac{10 ft^3}{min}\)

We want to find how fast the depth of the water is increasing when the water is 13 feet deep. So, we want to find dh/ dt.

First, remember that the volume for a cone is given by the formula:

                V = 1/3 π r² h    

We want to find dh/dt. So, let's take the derivative of both sides with respect to the time t. However, first, let's put the equation in terms of h.

We can see that we have two similar triangles. So, we can write the following proportion:

         \(\frac{r}{h} = \frac{12}{36}\)

Multiply both sides by h:

    ⇒ \(r = \frac{12}{36} h\)

So, let's substitute this in r:

\(V = \frac{1}{3} \pi \frac{12}{36} h^{2} h\)

Square:

\(V = \frac{1}{3} \pi \frac{144}{3888} (h^{2} ) h\)

Simplify:

\(V = \frac{144}{3888} \pi h^{2}\)

Now, let's take the derivative of both sides with respect to t:

\(\frac{d}{dt} (V) = \frac{d}{dt} [\frac{144}{3888} ] \pi h^{3}\)

Simplify:

\(\frac{dV}{dt} =\frac{144}{3888} \pi (3h^{2} ) \frac{dh}{dt}\)

We want to find dh/dt when the water is 13 feet deep. So, let's substitute 13 for h. Also, let's substitute 10 for dV/dt. This yields:

\(10 = \frac{144}{3888} \pi (3(13^{2} ) \frac{dh}{dt}\)

\(10 = \frac{144}{3888} \pi (507) \frac{dh}{dt}\)

\(10 = \frac{73008}{3888} \pi \frac{dh}{dt}\)

\(38880 = 73008 \pi \frac{dh}{dt}\)

\(\frac{dh}{dt} = \frac{38880}{73008} \pi\)

\(\frac{dh}{dt} = \frac{38880}{73008} X\frac{22}{7}\)

≈ 1.6737109 feet / min

The water is rising at a rate of approximately 1.68 feet per minute.

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PLEASE HELP QUICK!! Will give brainliest!!

I provided what I thought the answer is, so if someone would be kind enough to help me clarify!!

PLEASE HELP QUICK!! Will give brainliest!!I provided what I thought the answer is, so if someone would
PLEASE HELP QUICK!! Will give brainliest!!I provided what I thought the answer is, so if someone would

Answers

Answer: \(90\leq 2x-44\leq 95\)

Step-by-step explanation:

how many cup sugar in g?

Answers

As a rough estimate, 100g of sugar is equivalent to 0.5 cups of granulated sugar.

Conversion is the process of changing units of measurement from one system to another.

In this case, we need to convert 100g of sugar into cups. However, the conversion factor for sugar varies depending on factors such as the type of sugar and how densely it is packed. For instance, powdered sugar is denser than granulated sugar, and so the conversion factor will differ.

In general, one cup of granulated sugar weighs around 200g, which means that 100g of sugar is equivalent to 0.5 cups. However, it is essential to note that this conversion factor is approximate and can vary depending on the quality and type of sugar used.

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Complete Question:

how many cup sugar in 100g?

Which is ⁴√81x³y⁴z8 with rational exponents?
(a) 3x(¾)yz²
(b) 8x (¾) yz²
(c) 2x (⅓) yz²
(d) 9x (⅓) yz²​

Answers

The expression of ⁴√(81x³y⁴z⁸) with rational exponents is: 3x(¾)yz²

How to solve Laws of Exponents?

The 8 laws of exponents can be listed as follows:

Zero Exponent Law: a^(0) = 1.

Identity Exponent Law: a^(1) = a.

Product Law: a^m × a^n = a^(m+n)

Quotient Law: a^m/a^n = a^(m - n)

Negative Exponents Law: a^(-m) = 1/a^(m)

Power of a Power: (a^m)^n = a^(mn)

Power of a Product: (ab)^m = a^m*b^m

Power of a Quotient: (a/b)^m = a^m/b^m

We are given the algebra expression as:

⁴√81x³y⁴z⁸

This gives us:

81^(1/4) * x^(3/4) * y^(4/4) * z^(8/4)

= 3x^(3/4)yz²

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If the ratios of the volumes of two cones are 216:64, and the larger cone's height is 20in, what is the height of the smaller cone to the nearest inch?

Answers

Answer:

13 inches (to nearest inch)

Step-by-step explanation:

if volumes are in ratio 216:64, then lengths/heights must be in ratio

∛216: ∛64

= 6:4.

this can be simplified to 3:2.

3/2 = 1.5.

that means the height of larger cone is 1.5 times taller than height of the smaller cone.

let's call height of smaller cone d.

20 = 1.5d

d = 20/1.5

= 13.33

= 13 inches (to nearest inch)

A grocery store sells a bag of 6 oranges for $2.76. If Eli spent $1.84 on oranges, how
many did he buy?

Answers

Hence , Eli spent $1.84 on oranges to buy 4 bags of oranges .

The unitary methodology may be a methodology within which you discover the worth of a unit then the worth of a needed range of unitsFor simplification, forever write the items to be calculated on the right-hand facet and things notable on the left-hand facet

It is given that a grocery store sells a bag of 6 oranges for $2.76.

Using unitary method ,

The bag of 6 oranges cost =  $2.76

Each bag of oranges costs = 2.76/6

                                              = $0.46

Next we need to find out how many Eli spent on oranges.

$0.46 amount spent on to buy = 1 bag of orange

$1.84  amount spent on to buy = 1.84 /0.46

                                                     = 4  bags of oranges.

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a linear transformation t:r2→r3t:r2→r3 is defined by t(x)=axt(x)=ax. find an x⃗ x→ in r2r2 whose image under tt is b⃗ b→.

Answers

it is not possible to find a unique vector x in R² whose image under the linear transformation T is the given vector b in R³

A linear transformation T: R² → R³ is defined by T(x) = Ax, where A is a matrix that performs the transformation, x is a vector in R², and T(x) is the resulting vector in R³. In this problem, you are asked to find a vector x in R² whose image under the transformation T is a given vector b in R³.
Since the linear transformation T maps from R² to R³, the matrix A must have a size of 3x2, meaning it has 3 rows and 2 columns. Therefore, when multiplying A with the vector x (size 2x1), the resulting vector T(x) will have a size of 3x1, which is a vector in R³.
Given that T(x) = b, to find the vector x in R², you would typically need to solve the equation Ax = b. However, in this case, it is impossible to find a unique solution for x because the transformation T maps from a 2-dimensional space (R²) to a 3-dimensional space (R³). There will be an infinite number of solutions, or no solutions at all, as there isn't a unique way to determine a vector in R² that maps to a specific vector in R³ using this transformation.

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Factor the following expression using the greatest common factor 18a+24c

Answers

Step-by-step explanation:

divide each by six

3a+4c

Answer:

6(3a+4c)

Step-by-step explanation:

GCF = 6

18a/6+24c/6

= 6(3a+4c)

Simple CVP analysis can be relied on for changes in volume outside the relevant range. True or False?

Answers

Simple CVP analysis can be relied on for changes in volume outside the relevant range. It is false.

For volume changes outside the appropriate range, a straightforward CVP analysis can be trusted. False. To account for activity levels outside of the required range, the CVP model needs to be modified.

Only when expenses are stable within a given production level is CVP analysis trustworthy. In the CVP analysis, it is expected that every unit produced would be sold, and every fixed cost must be stable. Another supposition is that changes in activity levels always result in changes in expenses.

The similar behavior of costs within the appropriate range is one of the presumptions of CVP analysis.

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You can use the formula a = to find the batting average a of a batter who has h hits in n times at bat. in If a person has a batting average of 280 and has been at bat 300 times, how many hits does the batter have?​

Answers

Answer:

Step-by-step explanation:

BA = Number of hits / Times at bat

BA = 280 / 300

BA = 0.933

No one past or present, has ever had that kind of batting average.

Ty Cobb has a lifetime average of 0.366

Ted Williams was the last play to average 0.406 in a season. (Over 400). He did it in 1941.

Two joggers run 6 miles south and then 5 miles east. What is the shortestdistance they must travel to return to their starting point?

Answers

Answer:

7.81 miles

Step-by-step explanation:

pythagorean theorem, 6 units downwards, and 5 east, so we have to calculate the hypotenuse, or sqrt( 6^2 + 5^2) which is sqrt61 or 7.81 miles

Potentials For each of the following vector fields, plot the potential function V(x) and identify all the equilibrium points and their stability. 2.7.1 x = x(1-x) 2.7.2 =3 2.7.3 x = sinx 2.7.4.1=2+ sin x 2.7.5 x=-sinhx 2.7.6 i=r+x-x, for various values of r.

Answers

For the vector field 2.7.6, i=r+x-x, for various values of r, the potential function is V(x) = rx. The equilibrium points are x = 0, and its stability can be determined by examining the slope of the potential function at this point.



For the vector field 2.7.1, x = x(1-x), the potential function is V(x) = x^2/2 - x^3/3. The equilibrium points are x = 0 and x = 1, and their stability can be determined by examining the slope of the potential function at each point.



For the vector field 2.7.2, =3, the potential function is V(x) = 3x. The equilibrium point is x = 0, and it is stable since the slope of the potential function at this point is zero.


For the vector field 2.7.3, x = sinx, the potential function is V(x) = -cos x. The equilibrium points are x = 0, pi, 2pi, etc., and their stability can be determined by examining the slope of the potential function at each point.


For the vector field 2.7.4.1, =2+ sin x, the potential function is V(x) = 2x + cos x. The equilibrium points are x = 0, pi, 2pi, etc., and their stability can be determined by examining the slope of the potential function at each point.


For the vector field 2.7.5, x = -sinhx, the potential function is V(x) = -cosh x. The equilibrium points are x = 0, pi, 2pi, etc., and their stability can be determined by examining the slope of the potential function at each point.


For the vector field 2.7.6, i=r+x-x, for various values of r, the potential function is V(x) = rx. The equilibrium points are x = 0, and its stability can be determined by examining the slope of the potential function at this point.


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is f(x)=0 in the range of the function f(x)=log(x)? if so, for what value of x?

Answers

The range of the function f(x) = log does not include f(x) = 0.

No, f(x) = 0 is not in the range of the function f(x) = log(x).

The range of the logarithmic function f(x) = log(x) is the set of all real numbers, except for negative numbers. In other words, the range of f(x) is (−∞, ∞) or { y ∈ R : y > 0 }.

Since the range of the logarithmic function does not include 0, it follows that f(x) = 0 is not in the range of f(x) = log(x). In fact, there is no real value of x for which log(x) equals zero, since log(x) is only zero when x equals 1, and the logarithmic function is not defined for x ≤ 0.

Therefore, f(x) = 0 is not in the range of the function f(x) = log(x).

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What are some things that lincoln and Monica have in common in taking sides

Answers

Monica and Lincoln have in common that they’re both human and Gorgeous

What are the coordinates of the y-intercept? (-8, 3) and (-3, -4.5)

What are the coordinates of the y-intercept? (-8, 3) and (-3, -4.5)

Answers

Based on the calculations, the coordinates of the y-intercept are (0, -9).

What is the y-intercept?

In Mathematics, the y-intercept of any graph (parabola) occurs at the point where the value of "x" is equal to zero (0). Similarly, the x-intercept refers to the point at which the graph of a function crosses the x-axis and the value of "y" is equal to zero (0).

How to calculate the slope of a line?

Mathematically, the slope of any straight line can be calculated by using this formula;

\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Substituting the given parameters into the formula, we have;

Slope, m = (-4.5 - 3)/(-3 + 8)

Slope, m = -7.5/5

Slope, m = -1.5.

Mathematically, the standard form of the equation of a straight line is given by;

y - y₁ = m(x - x₁)

At point (-8, 3), we have:

y - 3 = -1.5(x + 8)

y - 3 = -1.5x - 12

y = -1.5x - 12 + 3

y = -1.5x - 9

Therefore, the coordinates of the y-intercept are (0, -9).

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the standard error of estimate measures the accuracy of a prediction. group startstrue or falsetrue, unselectedfalse, unselected

Answers

The statement is true that is the standard error of estimate measures the accuracy of a prediction.

Given that,

We have a statement that is the standard error of estimate measures the accuracy of a prediction.

We have to find is the statement is true are false.

We know that,

What is standard error?

The SE formula is used to determine how accurately a sample represents a population. The sample mean's departure from the specified population is provided as follows,

Formula for standard error

S.E=S/√n

Where, n is the number of observations and S is the standard deviation.

Therefore, The statement is true that is the standard error of estimate measures the accuracy of a prediction.

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a number divided by three two is at most two

Answers

Answer:

X ≤ 2

Step-by-step explanation:

x/(3 - 2) ≤ 2

3-2 = 1

x/1 ≤ 2

X ≤ 2

Which expression is equivalent to...

Which expression is equivalent to...

Answers

Answer:

Step-by-step explanation:

We have like bases in our m's, and the rule for the numerator, where those bases are multiplied, is that we can add the exponents on them to get a new power. We will also at the same time multiply 4 by 6:

\(\frac{24m^7}{3m^2}\)  As far as the numbers go, we will divide them to get 8; the rule for dividing like bases is that we subtract the lower exponent from the upper to get:

\(8m^5\), the third choice down

The expression [(4m³) x (6m⁴)] / 3m² will be equivalent to 8m⁵. The correct option is C.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

[(4m³) x (6m⁴)] / 3m² = 24m⁷ / 3m²

Divide the numerator by the denominator to simplify the expression.

[(4m³) x (6m⁴)] / 3m² = 8m⁵

Therefore, the expression [(4m³) x (6m⁴)] / 3m² will be equivalent to 8m⁵. The correct option is C.

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which of the following is wrong? question 21 options: sampling rate and sound frequency have the same unit, both use hz. sample rate is a setting that can be changed in the digitization process. sound frequency is a setting that can be changed in the digitization process higher sampling rate does not necessary mean higher pitch

Answers

There is nothing inherently wrong with any of the statements in question 21. Sampling rate and sound frequency both use hertz (Hz) as their unit of measurement.

The sample rate is a setting that can be adjusted during the digitization process, as is the sound frequency. It is also true that a higher sampling rate does not necessarily result in a higher pitch.


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What is the answer for the explanation

What is the answer for the explanation

Answers

Answer: You cannot figure out the value without any measurements or tools for that matter.

Step-by-step explanation:

Im blue ba da de ba da da

How many ones does it take to make a ten?

Answers

Answer:

it takes 10 ones to make a ten.

Jordan wants to buy a bike that is selling for $79.99. What is the total cost
of the bike if Jordan pays 6 % sales tax?

Answers

Answer:

84.7894

= Rounded to the nearest cent= 84.79

Step-by-step explanation:

79.99*1.06= 84.7894

Step-by-step explanation:

75.19 would be the answer. sorry if I am wrong.ฅ^•ﻌ•^ฅ

A spinner with 12 equal sections is spun. Each section is numbered 1 to 12. What Is the probability of landing on an odd number. A) 25% B) 75% C) 100% D) 50%

Answers

Answer:

D

Step-by-step explanation:

What is the equation of the line that is perpendicular to y = 4x + 6 and passes through the point (8, −4)?

y equals negative one-fourth times x minus 2
y equals negative one-fourth times x plus 7
y = 4x − 36
y = 4x + 24

Answers

Answer:

1st: find the slope of the line that is perpendicular to y = 4x + 6 (which is m = -1/4)
2nd: substitute m = -1/4  x = 8 into y = mx + b and y = -4
3rd: Calculate it -4 = -1/4  x 8 + b
b = - 2
4th: substitute m = - 1/4 and b = -2 into y = mx + b
The final answer would be: y = -x/4 -2

Step-by-ste1p explanation:

Other Questions
HELP PLEASE1. If f(a) = 3a a2, which of the following are not true statements?Select all that apply.f(-5) = -40f(4) = -4f(-1) = 2f(0) = 3f(3) = 02. Your savings account has a balance of $125. You add $22 a month to this balance.Which equation shows your balance, b, in m months?b( m) = $125 m + $22m( b) = $125 b + $22m( b) = $125 + $22 bb( m) = $125 + $22 m3. Find x, if f(x) = 12 and f(x) = 3x.343612 Blood is an example of a basic buffer system. Which of the following could be used to mimic the buffering abilities of blood?Select the correct answer below:HF and NaFCH3NH2 and CH3NH3ClKOH and H2Onone of the above a firm that is committed to keeping manufacturing facilities in only the home country (and not developing multiple production sites in a variety of countries) can (a) Show that if is an eigenvalue of A, then is an eigenvalue of [tex]A^{T}[/tex]. Show with an example that the eigenvectors of A and [tex]A^{T}[/tex] are not the same.(b) Show that if is an eigenvalue of A, and A is invertible, then ^-1 is an eigenvalue of A^-1. The question refers to the following description.On the volcanic, equatorial West African island of Sao Tom, two species of fruit fly exist. Drosophila yakuba inhabits the island's lowlands, and is also found on the African mainland, located about 200 miles away. At higher elevations, and only on Sao Tom, is found the very closely related Drosophila santomea. The two species can hybridize, though male hybrids are sterile. A hybrid zone exists at middle elevations, though hybrids there are greatly outnumbered by D. santomea. Studies of the two species' nuclear genomes reveal that D. yakuba on the island is more closely related to mainland D. yakuba than to D. santomea (2n = 4 in both species). Sao Tom rose from the Atlantic Ocean about 14 million years ago.If a speciation event occurred on Sao Tom, producing D. santomea from a parent colony of D. yakuba, then which terms apply?I. macroevolutionII allopatric speciationIII. sympatric speciation MY LAST QUESTION, HELPP----------------------------------------------------------------------What was similar about the U.S. economy in the early 1800s and the U.S. economy at the nation's founding?---------------------------------------------------------------------(A) The gap between the rich and poor remained the same.(B) The economy in the South was based on enslavement.(C) The union movement of factory workers was strong.(D) The economy in the North was based on shipbuilding and fishing. A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces. Refer to Exhibit 7-4. The point estimate of the mean content of all bottles is? a) 0.22 b) 4 c) 121 d) 0.02 if there are four possible outcomes how many logical tests are required Countries with a high uncertainty avoidance culture (e.g., Japan, Korea, and Portugal) are likely to have compensation systems with which of the following characteristics?A. High level of variable/contingent compensationB. Bonuses/pay at risk depending on performanceC. Highly structured, lock-step compensation plansD. Rewards given for individual efforts functional programming excels at 'transactional' programming where a specific desired outcome is required for specific parameters. T/F Question 2BThe current market value of a firms share is $32 million, with 20 million shares outstanding. The net profit after tax is estimated to be $5 million. Investors are willing to pay a value equivalent to 20 times of the firms earnings. Based on the price-earnings multiple valuation model, are the firms shares fairly priced? Should an investor buy the share? Explain why. When Julie, the marketing executive for Hope Springs, determined that market segments existed with sufficient disposable income to pay a premium for bottled water, she determined this by examining _____ forces. Three inches of mulch need to be applied to a rectangular flower bed that is 8 ft by 22 ft between ahouse and a walkway. How many cubic feet of mulch are needed? (1 ft 12 in) HW4: Problem 8 (1 point) Take the Laplace transform of the following initial value and solve for Y(s) = L{y(t)}: = g" + 1g = sin(Tt)0 True or False. the least reliable predictor of how people will interpret the implications of an announcement of change is their experience of previous organizational changes. A researcher wished to compare the average amount of time spent in extracurricular activities by high school students in a suburban school district with that of high schoolers in a school district of a large city. The researcher obtained an SRS of 60 high school students in a large suburban school district and found the mean time spent in extracurricular activities per week to be x1 = 6 hours, with a standard deviation s1 = 3 hours. The researcher also obtained an independent SRS of 40 high school students in a large city school district and found the mean time spent in extracurricular activities per week to be x2 = 4 hours, with a standard deviation s2 = 2 hours. Let u1 and u2 represent the mean amount of time spent in extracurricular activities per week by the populations of all high school students in the suburban and city school districts, respectively.Assume the two-sample t-procedures are safe to use. With a level of 5%, test the hypothesis that the amount of time spent on extracurricular activities is no different in the two groups. How does motivation and self efficacy relate to theeffectiveness of training? The thesis of nature returns to the cities? when paying simple interest, you are paying interest on____. question 12 options: a. only the principal amount invested b. on interest c. interest accrued at the beginning of the period d. only reinvested interest Question.What is an adaptation?Responses:1: A change that helps a species survive.2: A change that makes a species become extinct.3: A change that prevents a species from surviving.4: A change that makes a species prettier to look at.